10122110100000 has 432 divisors, whose sum is σ = 36006566057280. Its totient is φ = 2697134400000.

The previous prime is 10122110099999. The next prime is 10122110100023. The reversal of 10122110100000 is 101122101.

It is a happy number.

It is a super-2 number, since 2×10122110100000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1413896421 + ... + 1413903579.

It is an arithmetic number, because the mean of its divisors is an integer number (83348532540).

Almost surely, 2^{10122110100000} is an apocalyptic number.

10122110100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122110100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18003283028640).

10122110100000 is an abundant number, since it is smaller than the sum of its proper divisors (25884455957280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10122110100000 is an equidigital number, since it uses as much as digits as its factorization.

10122110100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8771 (or 8740 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10122110100000 its reverse (101122101), we get a palindrome (10122211222101).

The spelling of 10122110100000 in words is "ten trillion, one hundred twenty-two billion, one hundred ten million, one hundred thousand".